Abstract
An exact solution of the model of fully packed loops of two colours on a square lattice has recently been proposed by Dei Cont and Nienhuis using the coordinate Bethe ansatz approach. We point out here a simpler alternative, in which the transfer matrix is directly identified as a product of R-matrices; this allows us to apply the (nested) algebraic Bethe ansatz, which leads to the same Bethe equations. We comment on some of the applications of this result.
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